Graph Energies on Bridge Chain for Composition of Graphs

Abstract

The graph𝐺 consists of some vertex 𝑉(𝐺) are connected by 𝐸(𝐺) wherethe position of vertices does not matter. The degree of a graph vertex is basically a number of incident edges 𝐸(𝐺) and vertex 𝑢 can be denoted by du. The upper and lower bound of graph energy with minimal and maximal energy is abroad field of Spectral Graph theory. The energy of Graph 𝐸(𝐺)in term of vertices and number of edges in graph 𝐺 is involvedin absolute value of eigenvalue adjacency matrix of G where λis thespectral radius. The Graph has energy equal |.Finally, we determine the energy, pattern and irregularities of chain like cyclic graph. Our exploring outputs will rely upon Size and Order of Graph, Degree of Graph, Irregular Graph, Multi Graph, Cyclic Graph, Wheel Graph, Bridge Graph, Prism Graph, Connected and Planarity Graph, and Concept of Distance and Degree in Graph.